4.5 Techniques of Integration: Quiz

Problem 2

Evaluate the following indefinite integral:

Which best describes the solution with constant term equal zero?

  1. The solution has an asymptote at x = 0.
  2. The solution crosses the x axis infinitely many times.
  3. The solution is bounded as x approaches infinity.
  4. The solution is an even function.
  5. The solution is periodic.

Answers, problem 2

  1. The solution

    crosses the x axis infinitely many times.

The graph of the solution with C chosen to be zero shows that none of the other descriptions is true.

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